%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP751-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:27:13 PM UTC 2026
% Result : Unsatisfiable 57.97s 37.51s
% Output : CNFRefutation 58.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of clauses : 28 ( 28 unt; 0 nHn; 3 RR)
% Number of literals : 28 ( 27 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f07,axiom,
mult(mult(X1,X2),mult(X3,X3)) = mult(mult(X1,X3),mult(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(f03,axiom,
mult(rd(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(f04,axiom,
rd(mult(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(f05,axiom,
mult(mult(X1,mult(X1,X1)),mult(X2,X3)) = mult(mult(X1,X2),mult(mult(X1,X1),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(goals,negated_conjecture,
mult(a,mult(b,c)) != mult(mult(rd(a,a),b),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_0_5,axiom,
mult(mult(X1,X2),mult(X3,X3)) = mult(mult(X1,X3),mult(X2,X3)),
f07 ).
cnf(c_0_6,axiom,
mult(rd(X1,X2),X2) = X1,
f03 ).
cnf(c_0_7,axiom,
rd(mult(X1,X2),X2) = X1,
f04 ).
cnf(c_0_8,plain,
mult(mult(rd(X1,X2),X3),mult(X2,X3)) = mult(X1,mult(X3,X3)),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
rd(mult(X1,mult(X2,X2)),mult(X3,X2)) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
mult(mult(rd(X1,X2),X3),mult(X2,X2)) = mult(X1,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_11,plain,
mult(rd(rd(X1,mult(X2,X2)),X3),X2) = rd(X1,mult(X3,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_12,axiom,
mult(mult(X1,mult(X1,X1)),mult(X2,X3)) = mult(mult(X1,X2),mult(mult(X1,X1),X3)),
f05 ).
cnf(c_0_13,plain,
mult(rd(mult(rd(X1,X2),X3),X4),X2) = rd(mult(X1,mult(X3,X2)),mult(X4,X2)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
rd(rd(X1,mult(X2,X3)),X3) = rd(rd(X1,mult(X3,X3)),X2),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_15,plain,
rd(mult(mult(X1,X2),mult(mult(X1,X1),X3)),mult(X2,X3)) = mult(X1,mult(X1,X1)),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_16,plain,
rd(mult(X1,mult(X2,X3)),mult(X3,X3)) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_17,plain,
mult(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,mult(X3,X3)),X2),
inference(spm,[status(thm)],[c_0_9,c_0_6]) ).
cnf(c_0_18,plain,
rd(rd(mult(X1,mult(X2,X3)),mult(X4,X3)),X3) = rd(mult(rd(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_19,plain,
rd(mult(rd(mult(X1,X2),X3),mult(X1,X1)),X2) = rd(mult(X1,mult(X1,X1)),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
rd(rd(mult(X1,mult(X2,X2)),X3),X2) = rd(X1,rd(X3,X2)),
inference(spm,[status(thm)],[c_0_7,c_0_17]) ).
cnf(c_0_21,plain,
rd(rd(mult(X1,mult(X2,X1)),X3),X2) = rd(X1,rd(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_6]) ).
cnf(c_0_22,plain,
mult(rd(X1,rd(X2,X1)),X3) = rd(mult(X1,mult(X3,X1)),X2),
inference(spm,[status(thm)],[c_0_6,c_0_21]) ).
cnf(c_0_23,plain,
mult(rd(X1,mult(X2,X3)),mult(X2,X2)) = mult(rd(X1,mult(X3,X3)),mult(X3,X2)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_24,plain,
rd(mult(X1,mult(X2,X1)),mult(X3,X1)) = mult(rd(X1,X3),X2),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_25,negated_conjecture,
mult(a,mult(b,c)) != mult(mult(rd(a,a),b),mult(a,c)),
goals ).
cnf(c_0_26,plain,
mult(mult(rd(X1,X1),X2),mult(X1,X3)) = mult(X1,mult(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_10]),c_0_16]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP751-1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 19:04:30 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 57.97/37.51 % Version : CSE_E---1.7
% 57.97/37.51 % Problem : theBenchmark.p
% 57.97/37.51 % SZS status Unsatisfiable for theBenchmark.p
% 57.97/37.51 % SZS output start CNFRefutation
% See solution above
% 58.17/37.73 % Total time : 29.424s
%------------------------------------------------------------------------------